Results 21 to 30 of about 60 (60)

f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (k, µ)-space-form to be f-biharmonic and bi-f-harmonic submanifold.
Hui Shyamal Kumar, Breaz Daniel, Mandal Pradip   +2 more
doaj   +1 more source

Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

Complex Manifolds, 2019
An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
doaj   +1 more source

Annuloids and Δ-wings

Advanced Nonlinear Studies
We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings.
Hoffman David, Martín Francisco, White Brian   +2 more
doaj   +1 more source

A Variational Approach for the Neumann Problem in Some FLRW Spacetimes

Advanced Nonlinear Studies, 2019
In this paper, we study, using critical point theory for strongly indefinite functionals, the Neumann problem associated to some prescribed mean curvature problems in a FLRW spacetime with one spatial dimension.
Bereanu Cristian, Torres Pedro J.
doaj   +1 more source

Geometry of branched minimal surfaces of finite index

Advanced Nonlinear Studies
Given I,B∈N∪{0} $I,B\in \mathbb{N}\cup \left\{0\right\}$ , we investigate the existence and geometry of complete finitely branched minimal surfaces M in R3 ${\mathbb{R}}^{3}$ with Morse index at most I and total branching order at most B. Previous works
Meeks William H., Pérez Joaquín
doaj   +1 more source

Stability of isometric immersions of hypersurfaces

Forum of Mathematics, Sigma
We prove a stability result of isometric immersions of hypersurfaces in Riemannian manifolds, with respect to $L^p$ -perturbations of their fundamental forms: For a manifold ${\mathcal M}^d$ endowed with a reference metric and a reference ...
Itai Alpern, Raz Kupferman, Cy Maor
doaj   +1 more source

Minimal surfaces in H3(−1) via Willmore geometry, Gauss maps, meromorphic potentials, and algorithmic constructions

Open Mathematics
This article develops a self-contained account of minimal surfaces in hyperbolic three-space H3(−1) ${\mathbb{H}}^{3}\left(-1\right)$ from the vantage point of Willmore geometry and the DPW (loop-group) method.
Toda Magdalena, Atampalage Madusha Dilhani, Güler Erhan   +2 more
doaj   +1 more source

Reilly type inequalities for eigenvalues of the buckling problem on compact Riemannian manifolds

Demonstratio Mathematica
In this paper, we firstly study the two types of buckling problem of the biharmonic operator and get some Reilly type lower bound estimates for the first nonzero eigenvalue of these eigenvalue problems on compact Riemannian manifolds with boundary ...
Li Yanli, Du Feng, Xia Changyu
doaj   +1 more source

Comparison formulas for total mean curvatures of Riemannian hypersurfaces

Advanced Nonlinear Studies
We devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds.
Ghomi Mohammad
doaj   +1 more source

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source